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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2015 Volume 438, Pages 118–132 (Mi znsl6188)

This article is cited in 1 paper

The ray type solution for the wave of finite deformation in the physically linear nonlinear inhomogeneous elastic medium

A. P. Kachalov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The paper is devoted to the ray types of finite deformation waves in the nonlinear, physically linear elastic media. The waves are a generalization of the Bland plane waves for the isotropic nonlinear media. For the waves the fast oscillation and slow oscillation parts are interacted during the process of propagation. Forms of the waves are adiabatically changed. An example of plane wave in the inhomogeneous media is considered.

Key words and phrases: nonlinear elastic medium, finite deformation, the ray type solutions.

UDC: 534.222.2

Received: 15.10.2015


 English version:
Journal of Mathematical Sciences (New York), 2017, 224:1, 79–89

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